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Perger prism

Perger prism is a physics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Perger prism rather than just read about it. In short: A Perger prism or Perger–Porro prism system is a prism, that is used to invert (rotate by 180°) an image. The special feature of this prism is that, like a traditional double Porro prism system, it manages this with only four beam deflections and has neither a roof edge with the accompanying phase correction problems, a mirrored surface or an air gap.

Perger prism — main illustration
Perger prism — illustration

Key takeaways

  • Perger prism belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Perger prism to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Perger prism from memory before moving on to harder problems.

Reference excerpt

A Perger prism or Perger–Porro prism system is a prism, that is used to invert (rotate by 180°) an image. The special feature of this prism is that, like a traditional double Porro prism system, it manages this with only four beam deflections and has neither a roof edge with the accompanying phase correction problems, a mirrored surface or an air gap. However, in contrast to the traditional double Porro prism, it leads to a significantly reduced eyepiece/objective axis offset. The reduced beam offset allows for slimmer, more straight binocular housings usually found in roof prism binoculars. Complicating production requirements make high-quality roof prism binoculars relatively costly to produce compared to in optical quality equivalent Porro prism or "Perger–Porro prism system" binoculars. Dr. Andreas Perger patented the inversion system in 2011, and it was initially used in the Geovid HD laser rangefinding binoculars (2013 third generation) from the manufacturer Leica. This manufacturer uses the "Perger–Porro prism system" designation for this binoculars line, which features curved (banana shaped) binocular barrels.

Structure and functionality The Perger prism consists of two glass prisms of different shapes that can be cemented together. The two prisms variant of the Porro Prisma of the second type (Porro–Abbe prism) served as a template for its design. In the next development steps, the cemented surface was first inclined in relation to the beam path. Then the first and last reflecting surfaces were tilted so that the beam has an angle of incidence that exceeds the 45° that is usual in a Porro prism. In this way, the axis offset could be reduced to about 70% of that in the Porro prism of the 2nd type, i.e., be reduced to about half of the value present in the Porro prism. Since the partial prisms are cemented, and the beam deflection is based entirely on the total reflection principle, there are no reflection losses within this reversal system. The roof prisms, which are widely used in binocular construction, lead to a loss of image quality due to diffraction effects at the roof edge and also require a phase correction coating. These complications are avoided in the Perger prism. The prism is not dispersive since light enters and exits the prism only at normal incidence. Since the light is reflected an even number of times by the Perger–Porro prism system, the image's handedness is not changed. According to the patent, the Perger–Porro optical system does not lead to any significant impairment compared to the traditional double Porro system, but only to a slight reduction in brightness to the edge of the field of view (vignetting). The manufacturer who commercially offers this optical system in binoculars claims good brightness and a light transmission of over 90 percent in its 2020 models. Another advantage of the Perger prism is that the inclined position of the cemented surface to the optical axis can be used to couple in a measuring beam or a display, which enables the use of this type of prism in binoculars with integrated range finders. For this purpose, the cemented surface is provided with an dichroic coating that is matched to the wavelengths of the measuring beam and the display in such a way that just the color of the display will reflect back into the eye of the user.

Commercial market share in binoculars Since its invention, the patented Perger prism optical design found commercial application on a small scale in some Leica binoculars. The anticipated expiration of the patent term is in 2031.

References

Illustrations

Perger prism: Perger-Prism beam path; the cemented plane is colored blue
Perger-Prism beam path; the cemented plane is colored blue
Perger prism: Leica GEOVID 8×42 HD-B laser rangefinding "Perger–Porro prism system" binoculars that have a  14 mm (0.55 in) eyepiece/objective axis offset used by a hunter
Leica GEOVID 8×42 HD-B laser rangefinding "Perger–Porro prism system" binoculars that have a 14 mm (0.55 in) eyepiece/objective axis offset used by a hunter

Worked examples

Example 1 — a first encounter with Perger prism

Start with the simplest possible case. Write down what Perger prism claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Perger prism before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Perger prism ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Perger prism

In research
Perger prism appears in physics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Perger prism in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Perger prism is common in secondary-school and first-year university syllabi. It links to neighbouring topics Prisms (optics), so understanding it makes those chapters shorter.
In everyday life
Look for Perger prism outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Perger prism in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Perger prism means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Perger prism out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Perger prism in simple terms?

A Perger prism or Perger–Porro prism system is a prism, that is used to invert (rotate by 180°) an image. The special feature of this prism is that, like a traditional double Porro prism system, it manages this with only four beam deflections and has neither a roof edge with the accompanying phase…

Why does Perger prism matter?

Because it connects several physics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Perger prism?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Perger prism.

Tags

  • Prisms (optics)

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